Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
Related questions
Question
Please answer for step 3, thank you!! ALL PARTS
![And the vakes) or C QuNanteed by the Meon Value Theorem for Integras Por the unction aver the gliven Intervai,
K) - Dos(x),
Slep 1
Recoll that the Mean Vakue Theorem is stated as follows.
Ir ris continuous on the dosed Interval ra, bl, then there exdsts a number cIn the closed Interval fa, 01 such that
X) dx - Tc)(D - a).
In terms of area, this means there isa rectangie with side lengths Ac) and (b -a) that has the same anca as found by
J.
We are given the function x) - Cos(x) and the Interval
The function tx) Is
iS continuDuS on the glven Interval. Therefore, we must find the value of cin
that makes the following equation true.
CoS(X) dx - cos(c
Step 2
We will first evaluate the given Integral.
(cos(x)) ax -
sin
0.827413
Step 3
We have evaluated the given definite integral. Substitute this value on the left'side of the equstion and then solve for x) - cos(c) In the Mean Value Theorem.
(cos(x)) dx - cos(c
Vi- costet
Vi- costc
- cos/c)
Submit
Skip you canot coe back)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc366fd3b-620f-474a-a6bd-a20dc9199f80%2F3de0b276-1430-4e16-87f2-650796b50126%2Fl44c97b_processed.jpeg&w=3840&q=75)
Transcribed Image Text:And the vakes) or C QuNanteed by the Meon Value Theorem for Integras Por the unction aver the gliven Intervai,
K) - Dos(x),
Slep 1
Recoll that the Mean Vakue Theorem is stated as follows.
Ir ris continuous on the dosed Interval ra, bl, then there exdsts a number cIn the closed Interval fa, 01 such that
X) dx - Tc)(D - a).
In terms of area, this means there isa rectangie with side lengths Ac) and (b -a) that has the same anca as found by
J.
We are given the function x) - Cos(x) and the Interval
The function tx) Is
iS continuDuS on the glven Interval. Therefore, we must find the value of cin
that makes the following equation true.
CoS(X) dx - cos(c
Step 2
We will first evaluate the given Integral.
(cos(x)) ax -
sin
0.827413
Step 3
We have evaluated the given definite integral. Substitute this value on the left'side of the equstion and then solve for x) - cos(c) In the Mean Value Theorem.
(cos(x)) dx - cos(c
Vi- costet
Vi- costc
- cos/c)
Submit
Skip you canot coe back)
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